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12053608 = 237297317
BaseRepresentation
bin101101111110…
…110001101000
3211200101102221
4231332301220
511041203413
61110203424
7204311500
oct55766150
924611387
1012053608
116893066
124053574
132660518
14185aa00
1510d168d
hexb7ec68

12053608 has 48 divisors (see below), whose sum is σ = 26645220. Its totient is φ = 5096448.

The previous prime is 12053551. The next prime is 12053609. The reversal of 12053608 is 80635021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11009124 + 1044484 = 3318^2 + 1022^2 .

It is not an unprimeable number, because it can be changed into a prime (12053609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37866 + ... + 38182.

Almost surely, 212053608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12053608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322610).

12053608 is an abundant number, since it is smaller than the sum of its proper divisors (14591612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12053608 is a wasteful number, since it uses less digits than its factorization.

12053608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12053608 is about 3471.8306410308. The cubic root of 12053608 is about 229.2832634367.

Adding to 12053608 its reverse (80635021), we get a palindrome (92688629).

The spelling of 12053608 in words is "twelve million, fifty-three thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 194 196 317 388 392 634 679 776 1268 1358 2219 2536 2716 4438 4753 5432 8876 9506 15533 17752 19012 30749 31066 38024 61498 62132 122996 124264 215243 245992 430486 860972 1506701 1721944 3013402 6026804 12053608